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Finding the Third Proportional to 5,086.13 and 10,302.19

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Solution

The third proportional to 5,086.13 and 10,302.19 is: 20,867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.13 : 10,302.19 = 10,302.19 : x
  2. Step 2: Convert to fraction form
    5,086.13/10,302.19 = 10,302.19/x
  3. Step 3: Cross multiply
    5,086.13x = 10,302.19 × 10,302.19
  4. Step 4: Simplify right side
    5,086.13x = 106,135,067.29
  5. Step 5: Solve for x
    x = 106,135,067.29/5,086.13
  6. Step 6: Final answer
    x = 20,867.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.